Answer:
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Explanation:
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Answer:
The rectangular coordinates of the point are (3/2 , √3/2)
Step-by-step explanation:
* Lets study how to change from polar form to rectangular coordinates
- To convert from polar form (r , Ф) to rectangular coordinates (x , y)
use these rules
# x = r cos Ф
# y = r sin Ф
* Now lets solve the problem
∵ The point in the rectangular coordinates is (√3 , π/6)
∴ r = √3 and Ф = π/6
- Lets find the x-coordinates
∵ x = r cos Ф
∵ r = √3
∵ Ф = π/6
∴ x = √3 cos π/6
∵ cos π/6 = √3/2
∴ x = √3 (√3/2) = 3/2
* The x-coordinate of the point is 3/2
- Lets find the y-coordinates
∵ y = r sin Ф
∵ r = √3
∵ Ф = π/6
∴ y = √3 sin π/6
∵ sin π/6 = 1/2
∴ y = √3 (1/2) = √3/2
* The y-coordinate of the point is √3/2
∴ The rectangular coordinates of the point are (3/2 , √3/2)
D)y=6(x+1)²-16= 6(x²+2x+1)-16= 6x²+12x+6-16= 6x²+12x-10
<span>answer: D</span>
Integers are any whole number(not fraction) that can be possitive or negative however she can not buy a negative amount of tickets so that is not the answer
whole numbers are any not fraction number that is positive this is a possible answer
rational numbers are any number that is terminates if it is a decimal or is a repeating decimal this does not include decimals like pi that don't end and dont repeat this cant be the answer
a real number is any number rational or irrational this also cant be the answer
the answer is B
i hope i made sense
Answer:
The length of diagonal XU is 6.40 units
Step-by-step explanation:
* Lets explain how to find the distance between two points
- The rule of the distance between two points 
and 
is:
* Lets solve the problem
-From the attached figure:
- The coordinates of the vertex X are (2 , 2)
- The coordinates of the vertex U are (-2 , 7)
∴ The point = (2 , 2)
∴ The point = (-2 , 7)
∴ 
∴ 
∵
∴ 
∵ 
∴ d = 6.40
* The length of diagonal XU is 6.40 units
